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Finding the Fourth Proportional to 451.48, 622.12 and 313.24

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Solution

The fourth proportional to 451.48, 622.12 and 313.24 is: 431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.48 : 622.12 = 313.24 : x
  2. Step 2: Convert to fraction form
    451.48/622.12 = 313.24/x
  3. Step 3: Cross multiply
    451.48x = 622.12 × 313.24
  4. Step 4: Simplify right side
    451.48x = 194,872.87
  5. Step 5: Solve for x
    x = 194,872.87/451.48
  6. Step 6: Final answer
    x = 431.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.